7491661947 has 64 divisors (see below), whose sum is σ = 13888435200. Its totient is φ = 3877424640.

The previous prime is 7491661927. The next prime is 7491661963.

7491661947 is a `hidden beast` number, since 7 + 4 + 9 + 16 + 619 + 4 + 7 = 666.

7491661947 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7491661947 - 2¹⁰ = 7491660923 is a prime.

It is a super-2 number, since 2×7491661947² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7491661893 and 7491661902.

It is not an unprimeable number, because it can be changed into a prime (7491661907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569379 + ... + 582387.

It is an arithmetic number, because the mean of its divisors is an integer number (217006800).

Almost surely, 2^7491661947 is an apocalyptic number.

7491661947 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

7491661947 is a deficient number, since it is larger than the sum of its proper divisors (6396773253).

7491661947 is a wasteful number, since it uses less digits than its factorization.

7491661947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13313 (or 13307 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7491661947 is about 86554.3872198284. The cubic root of 7491661947 is about 1956.7081655184.

The spelling of 7491661947 in words is "seven billion, four hundred ninety-one million, six hundred sixty-one thousand, nine hundred forty-seven".